Respuesta :
F/1= kq^1q^2/r^2
R^2F= kq^3. R^2= kq^3/F. Sq rt each side. R=. Sq rt kq^3/F
R^2F= kq^3. R^2= kq^3/F. Sq rt each side. R=. Sq rt kq^3/F
Answer:
The formula for r is [tex]r=\sqrt{\frac{kq_1q_2}{F}}[/tex].
Step-by-step explanation:
The given formula is
[tex]F=\frac{kq_1q_2}{r^2}[/tex]
We need to solve for r.
Multiply both sides by r².
[tex]F\times r^2=\frac{kq_1q_2}{r^2}\times r^2[/tex]
[tex]F\times r^2=kq_1q_2[/tex]
Divide both sides by F.
[tex]\frac{F\times r^2}{F}=\frac{kq_1q_2}{F}[/tex]
[tex]r^2=\frac{kq_1q_2}{F}[/tex]
Taking square root both sides.
[tex]r=\pm \sqrt{\frac{kq_1q_2}{F}}[/tex]
In the given formula r is the distance between the q₁ and q₂. Distance can not be negative, so the formula for r is
[tex]r=\sqrt{\frac{kq_1q_2}{F}}[/tex]
Therefore the formula for r is [tex]r=\sqrt{\frac{kq_1q_2}{F}}[/tex].
